The values of the missing sides is DE = 12 and AC = 6.5
<h3>Similar triangles</h3>
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. Also all the corresponding angles are congruent.
Using Pythagoras:
AC² = AB² + BC²
AC² = 2.5² + 6²
AC = 6.5
Using similar triangles:
BC / DE = AB / EF
6/DE = 2.5/5
DE = 12
The values of the missing sides is DE = 12 and AC = 6.5
